Year 12 VCE Maths - Foundation Mathematics sample questions
Year 12 VCE Maths - Foundation Mathematics sample questions
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Year 12 VCE Foundation Mathematics practice questions
Use this no-login public demo to preview Skill Align's Year 12 VCE Foundation Mathematics sample questions, explanations, exercise mode, and test mode before regular practice.
Sample-question focus
Try a short public sample of Year 12 VCE Foundation Mathematics questions selected from the reviewed Skill Align demo set.
Skills covered
Practice number, algebra, measurement, data, finance, geometry, estimation, and applied problem solving.
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Sample VCE Foundation Mathematics questions
These sample questions are visible on the page before login. They show the practical modelling, finance, measurement, and data explanations used before opening the VCE Foundation Mathematics demo.
VCE Year 12Foundation MathematicsFinancial mathematicshardpayslip diagram
1. A payslip shows gross pay of $1240 and tax withheld at 18%. Superannuation is paid separately and is not part of take-home pay. What is the net pay?
Choices
$1016.80
$1240.00
$1116.20
$142.60
Explanation:
The tax withheld is 0.18 x 1240 = $223.20. Net pay is gross pay minus tax, so $1240 - $223.20 = $1016.80.
VCE Year 12Foundation MathematicsSpace and measurementhardscale plan
2. A floor plan uses a scale of 1:200. A rectangular room measures 4.8 cm by 3.5 cm on the plan. What is the actual floor area?
Choices
67.2 m2
16.8 m2
33.6 m2
672 m2
Explanation:
At a scale of 1:200, 4.8 cm represents 9.6 m and 3.5 cm represents 7.0 m. The actual floor area is 9.6 x 7.0 = 67.2 m2.
VCE Year 12Foundation MathematicsData and statisticshardweighted score chart
3. Two phone plans are scored out of 10. Cost is weighted 40%, data 35%, and coverage 25%. Plan A scores 8, 6, 9. Plan B scores 7, 8, 7. Which comparison is correct?
Choices
Plan A by 0.20
Plan B by 0.20
Plan A by 2.00
The scores are equal
Explanation:
Plan A has weighted score 0.40 x 8 + 0.35 x 6 + 0.25 x 9 = 7.55. Plan B has weighted score 0.40 x 7 + 0.35 x 8 + 0.25 x 7 = 7.35, so Plan A is higher by 0.20.
VCE Year 12Foundation MathematicsAlgebra and graphshardbreak-even graph
4. A stall has fixed costs of $450 and costs $18 per item. Each item sells for $33. How many items must be sold to break even?
Choices
30
15
25
45
Explanation:
Revenue is 33n and cost is 450 + 18n. Break-even occurs when 33n = 450 + 18n, so 15n = 450 and n = 30.
VCE Year 12Foundation MathematicsProbabilityhardprobability tree
5. A product passes a visual check with probability 0.92. If it passes the visual check, it passes the calculation check with probability 0.95. What is the probability it passes both checks?
Choices
0.874
0.950
0.920
0.030
Explanation:
This is a two-stage conditional probability. The probability of passing both checks is 0.92 x 0.95 = 0.874.
VCE Year 12Foundation MathematicsMeasurement and conversionhardmeasurement diagram
6. A sandbag is modelled as a rectangular prism 40 cm by 25 cm by 12 cm. How many whole sandbags can be filled from 0.72 m3 of sand?
Choices
60
6
72
600
Explanation:
The sandbag dimensions are 0.40 m, 0.25 m and 0.12 m, so one bag has volume 0.40 x 0.25 x 0.12 = 0.012 m3. Then 0.72 / 0.012 = 60 whole sandbags.
For parents comparing VCE Foundation Mathematics support
VCE Foundation Mathematics practice should feel useful for real decisions: money, measurement, data, routes, and practical modelling. These examples preview that applied style before the no-login Foundation Mathematics demo.
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Practice Summary
Year 12 · VCE Maths - Foundation Mathematics · Test mode · 6 questions · 10 min
Questions attempted0 / 6
Correct answersPending
Score-
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Does this page include Year 12 VCE Foundation Mathematics practice questions?
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How does this demo relate to curriculum coverage?
This demo is linked with the VCE Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.
